Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11718266 |
| Fitting | C22×C8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11718266, #16785242, #16785247, … |
| maximal normal subgroup of | C4×#11718266, #16785242, #16785247, … |
| maximal quotient of | C2×#13129676, #16779186, #16779190, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20219);